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Finding the Fourth Proportional to 146.43, 218.46 and 131.09

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Solution

The fourth proportional to 146.43, 218.46 and 131.09 is: 195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.43 : 218.46 = 131.09 : x
  2. Step 2: Convert to fraction form
    146.43/218.46 = 131.09/x
  3. Step 3: Cross multiply
    146.43x = 218.46 × 131.09
  4. Step 4: Simplify right side
    146.43x = 28,636.83
  5. Step 5: Solve for x
    x = 28,636.83/146.43
  6. Step 6: Final answer
    x = 195.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.